Serge Aubry - Physics Department . Technion
Serge Aubry - Physics Department . Technion
Serge Aubry - Physics Department . Technion
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Assume the wavepacket spreads uniformy to zero:<br />
(lim t=∞ ||Ψ|| ∞ =0 ),<br />
then at infinite time the nonlinear contribution H NL to the<br />
energy is zero since<br />
and the norm ||Ψ|| 2 is time constant. Then<br />
energy cannot be<br />
conserved and consequently the wave packet cannot<br />
spread uniformly to zero.<br />
Since the higher order nonlinear energy grows faster<br />
than the norm the wavepacket cannot spread uniformly<br />
to zero when its amplitude is large enough<br />
<strong>Serge</strong> <strong>Aubry</strong>, <strong>Aubry</strong>,<br />
LLB, FRANCE
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